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Finding the Fourth Proportional to 200,024.30, 300,036.45 and 81,617.90

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Solution

The fourth proportional to 200,024.30, 300,036.45 and 81,617.90 is: 122,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,024.30 : 300,036.45 = 81,617.90 : x
  2. Step 2: Convert to fraction form
    200,024.30/300,036.45 = 81,617.90/x
  3. Step 3: Cross multiply
    200,024.30x = 300,036.45 × 81,617.90
  4. Step 4: Simplify right side
    200,024.30x = 24,488,344,972.46
  5. Step 5: Solve for x
    x = 24,488,344,972.46/200,024.30
  6. Step 6: Final answer
    x = 122,426.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.